There are 200 students at Richmond High School. The set of students who play a sport, S, and the set of students who take an art class, A, are shown in the Venn diagram. A student is selected at random from the set of students who play a sport or take an art class. To the nearest thousandth, what is the probability that the selected student plays a sport?

An automated water dispenser fills packets with one liter of water on average, with a standard deviation of 5 milliliter. the manual says that after a year of operation the dispenser should be tested to see if it needs recalibration. a year later a number of filled packets are set aside and measured separately. it is found that the average packet now contains about 0.995 liters. does the dispenser need calibration? explain your answer.

Find the value of the variable and the length of each secant segment.

Suppose you are choosing a 6-digit personal access code. this code is made up of 4 digits chosen from 1 to 9, followed by 2 letters chosen from a to z. any of these digits or letters can be repeated. find the total number of personal access codes that can be formed. 492,804 341,172 39,917,124 4,435,236